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Liquid volume flux in a weak bubble plume

Published online by Cambridge University Press:  26 April 2006

A. M. Leitch  and
W. D. Baines
A. M. Leitch
Affiliation:
Department of Mechanical Engineering, University of Toronto, Toronto Ontario M5S 1A4, Canada
W. D. Baines
Affiliation:
Department of Mechanical Engineering, University of Toronto, Toronto Ontario M5S 1A4, Canada
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Abstract

A method has been devised for measuring the volume flux in a bubble plume in a homogeneous liquid. Laboratory experiments on weak bubble plumes using the method determined the flux as a function of height and gas flow rate for air flow rates between 0.41 and 6.25 cc/s. It was found that volume flux was proportional to the square-root of air flow and increased linearly with height. From measurement of bubble velocity it is concluded that the individual bubble wakes make an important contribution to the entrainment.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 205 , August 1989 , pp. 77 - 98
Copyright
© 1989 Cambridge University Press

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References

Albertson, M. L., Dai, Y-B., Jensen, R. A. & Rouse, H. 1950 Diffusion of submerged jets. Trans. ASCE 115, 639–697.Google Scholar
Baines, W. D. 1975 Entrainment by a plume or jet at a density interface. J. Fluid Mech. 68, 309–320.Google Scholar
Baines, W. D. 1983 A technique for the direct measurement of volume flux of a plume. J. Fluid Mech. 132, 247–256.Google Scholar
Baines, W. D. & Hamilton, G. F. 1959 On the flow of water induced by a rising column of air bubbles. Intl Assoc. for Hydraulic Research, 8th Congr., Montreal, 24–29 August, pp. 7D1–7D17.
Baines, W. D. & Turner, J. S. 1969 Turbulent buoyant convection from a source in a confined region. J. Fluid Mech. 37, 51–80.Google Scholar
Chesters, A. K., van Doorn, M. & Goossens L. H. J. 1980 A general model for unconfined bubble plumes from extended sources. Intl J. Multiphase Flow 6, 499–521.Google Scholar
Clift, R., Grace, J. R. & Weber, M. E. 1978 Bubbles, Drops and Particles, Academic.
Durst, F., Schoenung, B., Selanger, K. & Winter, M. 1986 Bubble-driven liquid flows. J. Fluid Mech. 170, 53–82.Google Scholar
Fannelop, T. K. & Sjoen, K. 1974 Hydrodynamics of underwater blowouts. Proc. Coastal Engng Conf., pp. 2209–2226.
Goossens, L. H. J. 1979 Reservoir destratification with bubble columns. Ph.D. Thesis, Delft University of Technology.
Haberman, W. L. & Morton, R. K. 1954 An experimental study of bubbles moving in liquids. ASCE Proc. 80, 387.Google Scholar
Harper, J. F. 1972 The motion of bubbles and drops through liquids. Adv. Appl. Mech. 12, 59–129.Google Scholar
Hussain, N. A. & Narang, B. S. 1983 Simplified analysis of air-bubbles in moderately stratified environments. Trans. ASME C: J. Heat Transfer 106, 543–551.Google Scholar
Leibson, I., Holcomb, E. J., Cacoso, A. G. & Jamic, J. J. 1956 Rate of flow and mechanics of bubble formation from single submerged orifices. AIChE J. 2, 296–306.Google Scholar
Milgram, J. H. 1983 Mean flow in round bubble plumes. J. Fluid Mech. 133, 345–376.Google Scholar
Milgram, J. H. & Van Houten, R. J. 1982 Plumes from sub-sea well blowouts. Proc. 3rd Intl Conf., BOSS, vol. 1, pp. 659–684.
Morton, B. R., Taylor, G. I. & Turner, J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. Lond. A 234, 1–23.Google Scholar
Schlichting, H. 1979 Boundary Layer Theory. McGraw-Hill.
Tacke, K. H., Schubert, H. G., Weber, D. J. & Schwerdtfeger, K. 1985 Characteristics of round vertical gas bubble jets. Metall. Trans. 16B, 263–275.Google Scholar
Tekeli, S. & Maxwell, W. H. C. 1980 Physical modelling of bubble screens. Proc. ASCE 106 (WW1), 49–64.Google Scholar
Turner, J. S. 1986 Turbulent entrainment: the development of the entrainment assumption, and its application to geophysical flows. J. Fluid Mech. 173, 431–471.Google Scholar
Uberoi, M. S. & Freymuth, P. 1970 Turbulent energy balance and spectra of the axisymmetric wake. Phys. Fluids 12, 2205–2210.Google Scholar